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Finding the Third Proportional to 830,164 and 1,245,246

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Solution

The third proportional to 830,164 and 1,245,246 is: 1,867,869

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,164 : 1,245,246 = 1,245,246 : x
  2. Step 2: Convert to fraction form
    830,164/1,245,246 = 1,245,246/x
  3. Step 3: Cross multiply
    830,164x = 1,245,246 × 1,245,246
  4. Step 4: Simplify right side
    830,164x = 1,550,637,600,516
  5. Step 5: Solve for x
    x = 1,550,637,600,516/830,164
  6. Step 6: Final answer
    x = 1,867,869

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.